Suppose an item costs $50 and is discounted 10%. If it is then marked up 10%, is the resulting price $50? Why or why not?

No, it isn't $50

Step-by-step explanation:

If you take 10% discount of $50, the discount is $5. This implies, the selling price of the item becomes $45.

Now, if you find 10% of the $45, you get $4.5. This makes marked price $45+$4.5=$49.5

The reason is that while first discount was calculated using $50, the second mark up was calculated using $45

I believe it would still be 50 dollars:

Step-by-step explanation:

So, 10% off of 50 brings the price down to $45 (for every 10 dollars spent, a dollar is lost. Meaning 50-5=45.)

So, if you added that 10 percent back (which is $5 in this case,) you will come up with the answer of $50 still.

So, to sum it up, I believe the answer is yes, the price will still be $50.